312120152817353 has 2 divisors, whose sum is σ = 312120152817354. Its totient is φ = 312120152817352.

The previous prime is 312120152817259. The next prime is 312120152817367. The reversal of 312120152817353 is 353718251021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306922263524809 + 5197889292544 = 17519197^2 + 2279888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312120152817353 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312120152817383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060076408676 + 156060076408677.

It is an arithmetic number, because the mean of its divisors is an integer number (156060076408677).

Almost surely, 2^{312120152817353} is an apocalyptic number.

It is an amenable number.

312120152817353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120152817353 is an equidigital number, since it uses as much as digits as its factorization.

312120152817353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 312120152817353 in words is "three hundred twelve trillion, one hundred twenty billion, one hundred fifty-two million, eight hundred seventeen thousand, three hundred fifty-three".